What is the derivative of e^{sqrt(2)x} ?

The derivative of e^{sqrt(2)x} is e^{sqrt(2)x}sqrt(2)

What is the first derivative of e^{sqrt(2)x} ?

The first derivative of e^{sqrt(2)x} is e^{sqrt(2)x}sqrt(2)

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\frac{d}{d x} (e^{2 x})

e^{2 x} 2

Solution steps

\frac{d}{d x} (e^{2 x})

Apply the chain rule:

e^{2 x} \frac{d}{d x} (2 x)

= e^{2 x} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= e^{2 x} 2

\int \frac{y}{( y + 2 ) ( 5 y - 1 )} d y

y^{^{''}} + y^{^{'}} = sin (t)

\int \frac{1}{( x \cdot x ^{2} - 16 )} d x

y = e^{- x} cos (x)

\int \frac{1}{x ^{3} - 4 x ^{2}} d x

What is the derivative of e^{sqrt(2)x} ?
The derivative of e^{sqrt(2)x} is e^{sqrt(2)x}sqrt(2)
What is the first derivative of e^{sqrt(2)x} ?
The first derivative of e^{sqrt(2)x} is e^{sqrt(2)x}sqrt(2)